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Finding the Third Proportional to 69,920 and 104,860

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Solution

The third proportional to 69,920 and 104,860 is: 157,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,920 : 104,860 = 104,860 : x
  2. Step 2: Convert to fraction form
    69,920/104,860 = 104,860/x
  3. Step 3: Cross multiply
    69,920x = 104,860 × 104,860
  4. Step 4: Simplify right side
    69,920x = 10,995,619,600
  5. Step 5: Solve for x
    x = 10,995,619,600/69,920
  6. Step 6: Final answer
    x = 157,260.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.